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In this study, the authors study the modulation classification of linearly modulated signals including amplitude shift keying (ASK), phase shift keying (PSK) and quadrature amplitude modulation (QAM) signals. The authors consider an unknown frequency non-selective slowly fading channel with an unknown variance additive white Gaussian noise. The authors treat this classification problem as a multi-hypotheses test which is invariant under the complex scale. In such a case, the authors objective is to find uniformly most powerful (UMP) test in the class of invariant decisions. However, the authors find out that the UMPI test does not exist; instead, they provide a most powerful invariant (MPI) PSK signal classifier for known signal to noise ratio and use it as the upper performance bound for any invariant classifier. The authros also propose a hybrid likelihood ratio test (HLRT) solution which can be employed for the classification of linearly modulated signals, inter-family and intra-family. The authors also explain the efficient implementation of these algorithms in some steps. In order to reduce the computational cost, the authors propose quasi-HLRT classifiers for PSK signals. Some simulation examples are provided that show the power of the proposed algorithms in the classification of linearly modulated signals.
References
-
-
1)
-
A.A. Tadaion ,
M. Derakhtian ,
S. Gazor ,
M.M. Nayebi ,
M.R. Aref
.
Signal activity detection of phase-shift keying signals.
IEEE Trans. Commun.
,
8 ,
1439 -
1445
-
2)
-
S. Gazor ,
M. Derakhtian ,
A.A. Tadaion
.
Computationally efficient MLSE and activity detection for MPSK signals in unknown flat fading channels.
IEEE Signal Process. Lett.
,
10 ,
871 -
874
-
3)
-
S.M. Kay
.
(1998)
Fundamentals of statistical signal processing: detection theory.
-
4)
-
Hong, L., Ho, K.C.: `Modulation classification of BPSK and QPSK signals using a two element antenna array receiver', IEEE Military Communication Conf. Proc., MILCOM 2001, 28–31 October 2001, 1, p. 118–122.
-
5)
-
H.V. Poor
.
(1988)
An introduction to signal detection and estimation.
-
6)
-
A. Polydoros ,
K. Kim
.
On the detection and classification of quadrature digital modulations in broad-band noise.
IEEE Trans. Commun.
,
8 ,
1199 -
1211
-
7)
-
O.A. Dobre ,
A. Abdi ,
Y. Bar-Ness
.
Survey of automatic modulation classification techniques: classical approaches and new trends.
IET Commun.
,
2 ,
137 -
156
-
8)
-
Dobre, O.A., Hameed, F.: `Likelihood-based algorithms for linear digital modulation classification in fading channels', Canadian Conf. Electrical and Computer Engineering, CCECE'06, 2006, p. 1347–1350.
-
9)
-
Sills, J.A.: `Maximum-likelihood modulation classification for PSK/QAM', IEEE Military Communication Conf. Proc., MILCOM 1999, 31 October to 3 November 1999, 1, p. 217–220.
-
10)
-
W. Wei ,
J.M. Mendel
.
Maximum-likelihood classification for digital amplitude-phase modulations.
IEEE Trans. Commun.
,
2 ,
189 -
193
-
11)
-
E.L. Lehmann ,
J.P. Romano
.
(2005)
Testing statistical hypothesis.
-
12)
-
Abdi, A., Dobre, O.A., Choudhry, R., Bar-Ness, Y., Su, W.: `Modulation classification in fading channels using antenna arrays', IEEE Military Communication Conf. Proc., MILCOM 2004, 2004.
-
13)
-
I.S. Gradshteyn ,
I.M. Ryzhik
.
(1980)
Table of integrals, series and products.
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